Barren Plateaus in Quantum Neural Networks, Jarrod R. McClean, Sergio Boixo, Vadim N. Smelyanskiy, Ryan Babbush, Hartmut Neven, 2018Nature Communications, Vol. 9DOI: 10.1038/s41467-018-07090-4 - Foundational paper introducing the concept of barren plateaus and demonstrating their exponential vanishing gradient variance in deep random quantum circuits with global cost functions.
Noise-induced barren plateaus in variational quantum algorithms, Samson Wang, Enrico Fontana, M. Cerezo, Kunal Sharma, Akira Sone, Lukasz Cincio, Patrick J. Coles, 2021Nature Communications, Vol. 12 (Nature Publishing Group)DOI: 10.1038/s41467-021-27045-6 - Discusses how global noise processes, like depolarizing noise, can lead to barren plateaus even in shallow quantum circuits, posing a significant challenge for near-term quantum hardware.